All categories

2 years ago

select the correct answer. Consider the function f. Which statement is true about function f? NO LINKS!!

Mathematics

1 answer:

andre [41]2 years ago

8 0

Answer:

C) As x approaches positive infinity, f(x) approaches positive infinity

Step-by-step explanation:

The domain is NOT all real numbers as x is either smaller than or bigger than 0, and smaller than or bigger than 2. So x ≠ 0 and x ≠ 2.
This implies that there are asymptotes at x=0 and x=2.
Therefore, the function is NOT continuous.

The function is NOT increasing over its entire domain as
f(x) = -x² -4x + 1 is decreasing for its given domain of 0<x<2

You might be interested in

According to the University of Nevada Center for Logistics Management, of all merchandise sold in the United States gets returne

Step2247 [10]

Answer:

a) $\hat p=\frac{12}{80}=0.15$ estimated proportion of items that were returned

b) The 95% confidence interval would be given (0.0718;0.228).

c) Using a significance level assumed $\alpha=0.05$ we see that $p_v$ so we have enough evidence at this significance level to reject the null hypothesis. And on this case makes sense the claim that the proportion of returns at the Houston store significantly different from the returnsfor the nation as a whole.

Step-by-step explanation:

Assuming:

According to the University of Nevada Center for Logistics Management, 6% of all mer-chandise sold in the United States gets returned. Houston department store sampled 80 items sold in January and found that 12 of the items were returned.

Data given and notation

n=80 represent the random sample taken

X=12 represent the items that were returned

$\hat p=\frac{12}{80}=0.15$ estimated proportion of items that were returned

$\alpha=0.05$ represent the significance level (no given, but is assumed)

Confidence =0.95 or 95%

p= population proportion of items that were returned

a. Construct a point estimate of the proportion of items returned for the population ofsales transactions at the Houston store

$\hat p=\frac{12}{80}=0.15$ estimated proportion of items that were returned

b. Construct a 95% confidence interval for the porportion of returns at the Houston store

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.15 - 1.96 \sqrt{\frac{0.15(1-0.15)}{80}}=0.0718$

$0.15 + 1.96 \sqrt{\frac{0.15(1-0.15)}{80}}=0.228$

And the 95% confidence interval would be given (0.0718;0.228).

c. Is the proportion of returns at the Houston store significantly different from the returns for the nation as a whole? Provide statistical support for your answer.

We need to conduct a hypothesis in order to test the claim that the population proportion differs significantly to the USA proportion of 6% or no. We have the following system of hypothesis :

Null Hypothesis: $p = 0.06$

Alternative Hypothesis: $p \neq 0.06$

We assume that the proportion follows a normal distribution.

This is a two tailed test for the proportion .

The One-Sample Proportion Test is "used to assess whether a population proportion $\hat p$ is significantly (different,higher or less) from a hypothesized value $p_o$ ".

Check for the assumptions that he sample must satisfy in order to apply the test

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

$np_o =80*0.15=12>10$

$n(1-p_o)=80*(1-0.15)=68>10$

Calculate the statistic

The statistic is calculated with the following formula:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o(1-p_o)}{n}}}$

On this case the value of $p_o=0.06$ is the value that we are testing and n = 80.

$z=\frac{0.15 -0.06}{\sqrt{\frac{0.06(1-0.06)}{80}}}=3.390$

The p value for the test would be:

$p_v =2*P(z>3.390)=0.00070$

Using a significance level assumed $\alpha=0.05$ we see that $p_v$ so we have enough evidence at this significance level to reject the null hypothesis. And on this case makes sense the claim that the proportion of returns at the Houston store significantly different from the returnsfor the nation as a whole.

5 0

4 years ago

Help me help me help me ,!!!

garik1379 [7]

Answer:

How about; Six cats live in a house. Twenty more cats move in. It cost $3 to feed each cat. How much $ do you need to feed all the cats?

This is just and idea lol please don't use it as your own. it would be plaigarism and if someone found out the teacher would give you 0% or F. Hope this helps though!

Step-by-step explanation:

5 0

3 years ago

don't pay attention to my work right there because I'm not sure if it's right, the correct answer is c because the teacher say i

TEA [102]

Exponential in form. y=AB^x
put data into calc should get
A = 1000 and B = 1.06
y=1000(1.06^x)

x=30 years, y=1000(1.06^30)=5743

A=1000 is the principal (initial deposit)
B=1.06 mean compound interest 6%

5 0

3 years ago

Adding fractions<br> 5 over 10 + 1 over 3

Ray Of Light [21]

Answer:

25/30

Simplified: 5/6

Step-by-step explanation:

Have a good day!

Please rate and mark brainliest!

7 0

2 years ago

Read 2 more answers

Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the fall

kupik [55]

The probability of no boys being chosen will be 0.29.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Mr. Larsen's third-grade class has 22 students, 12 girls, and 10 boys.

Two students must be selected at random to be in the fall play.

Then the probability of no boys being chosen will be

Total event = ²²C₂ = 231

Favorable event = ¹²C₂ = 66

Then the probability will be

P = 66 / 231

P = 0.2857

P ≅ 0.29

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

4 0

3 years ago

select the correct answer. Consider the function f. Which statement is true about function f? NO LINKS!! ​

select the correct answer. Consider the function f. Which statement is true about function f? NO LINKS!!